What is the answer to |x+3|=|x-4| ?

The answer to |x+3|=|x-4| is x= 1/2

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|x+3|=|x-4|

∣ x + 3 ∣ = ∣ x - 4 ∣

x = \frac{1}{2}

Decimal

x = 0.5

Solution steps

∣ x + 3 ∣ = ∣ x - 4 ∣

Find positive and negative intervals

x < - 3, - 3 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = \frac{1}{2}

x = \frac{1}{2}

∣ 6 m - 3 ∣ = 9

∣ 10 x - 3 ∣ = ∣ 6 x + 11 ∣

∣ x - 4 ∣ + 7 = 11

∣ x + 32 ∣ = 8

X - \frac{4}{5} - \frac{3}{5} = 0